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Finding the Fourth Proportional to 178,686, 267,821.29 and 66,294.53

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Solution

The fourth proportional to 178,686, 267,821.29 and 66,294.53 is: 99,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,686 : 267,821.29 = 66,294.53 : x
  2. Step 2: Convert to fraction form
    178,686/267,821.29 = 66,294.53/x
  3. Step 3: Cross multiply
    178,686x = 267,821.29 × 66,294.53
  4. Step 4: Simplify right side
    178,686x = 17,755,086,544.54
  5. Step 5: Solve for x
    x = 17,755,086,544.54/178,686
  6. Step 6: Final answer
    x = 99,364.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.